Open KdV hierarchy and minimal gravity on disk

TL;DR

This paper demonstrates that the minimal gravity of Lee-Yang series on disk aligns with the open KdV hierarchy, linking intersection theory on moduli spaces with boundary to integrable systems.

Contribution

It establishes a connection between minimal gravity on disk and the open KdV hierarchy, providing a new perspective on boundary intersection theory.

Findings

Minimal gravity on disk satisfies the open KdV hierarchy.

The open KdV hierarchy describes the intersection theory on moduli spaces with boundary.

The work bridges minimal gravity models with integrable hierarchies.

Abstract

We show that the minimal gravity of Lee-Yang series on disk is a solution to the open KdV hierarchy proposed for the intersection theory on the moduli space of Riemann surfaces with boundary.